Statistics & Data Science · pattern F, Dataset
Enter the between-group and within-group sums of squares with the group and sample counts for the F ratio, degrees of freedom and an interpretation against the critical value.
F = MS between ÷ MS within, where MS = SS ÷ df
Between-group degrees of freedom are k − 1 and within-group are N − k, where k is the number of groups and N the total number of observations.
4.6792
A significant F says at least one group differs, not which. Post-hoc tests such as Tukey's are needed to identify the pairs, with their own correction for multiple comparisons.
Comparing four groups pairwise needs six t tests, and at α = 0.05 the chance of at least one false positive rises to about 26%. ANOVA tests all groups at once with a single α, controlling that inflation. The price is that a significant result is non-specific: it tells you the group means are not all equal and leaves the question of which to a post-hoc procedure.
If the number is not the part you are stuck on, that is what the service is for — a specialist who explains the working, not just the answer.
Statistical output here is for coursework and learning. Reported p-values and intervals assume the conditions stated on the page; nothing here checks whether those conditions hold for your data.